Greatest Common Factor of 4830/859, 8628/4929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4830/859, 8628/4929

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4830/859,8628/4929

Given fractions are 4830/859,8628/4929

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4830,8628

Greatest Common Factor of Numerators i.e. GCF of 4830,8628 is 6 .

LCM of Denominators means LCM of 859,4929 as per the given fractions.

LCM of 859,4929 is 4234011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4830,8628

GCF of Fractions 4830/859,8628/4929 is 6/4234011

2 4830, 8628
3 2415, 4314
805, 1438

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4830,8628 By Matching Biggest Common Factor Method

Greatest Common Factor of 4830,8628 By Matching Biggest Common Factor Method

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Greatest Common Factor

We found the factors 4830,8628 . The biggest common factor number is the GCF number.
So the greatest common factor 4830,8628 is 6.

Lets's calculate LCM of 859,4929

Given numbers has no common factors except 1. So, there LCM is their product i.e 4234011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4234011

Therefore, the GCF of Fractions 4830/859,8628/4929 is 6/4234011

Least Common Multiple of 859,4929 with GCF Formula

Least Common Multiple of 859,4929 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 859,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,4929) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(859,4929) x common factors =1 x 1 = 1

LCM(859,4929) = ( 859 × 4929 ) / 1

LCM(859,4929) = 4234011 / 1

LCM(859,4929) = 4234011


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4830/859, 8628/4929

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4830/859, 8628/4929?

Answer: GCF of Numerators as per given numbers 4830/859, 8628/4929 is

GCF of Numerators i.e. for 4830,8628 is 6

LCM of denominators i.e. for 859,4929 is 4234011.

Thus, GCF of Fractions is 6/4234011.Finally, GCF of Fractions for 4830/859, 8628/4929 is 6/4234011.